1.) 4(x+3) Find the GCF, Greatest Common Factor, of 4x and 12. 4x=2*2*x 12=3*2*2 The greatest common factor is 4. Put this outside of the parentheses. (You would multiply the 2*2) Then, put the rest of the factors as a sum. (Only the factors on the same line.) Solution: 4(x+3)
To check, distribute to see if it works.
4x+12
2.) 2(4r+7) Find the GCF of 8r and 14 8r=2*2*2*r 14= -1*7*2 The greatest common factor is 2. (There is only 1 two, so you would not multiply them.) Then, put the rest of the factors as a sum. (Only the factors on the same line.) Multiply the 2*2*r as one addend and the -1*7 as the other. Solution: 2(4r-7)
To check, distribute to see if it works.
8r-14
Do you get it now?
3.) 5(x+7) 4.) 7(2x+1) 5.) Cannot be factored.
32x-15 Find the GCF of 32x and -15
32x: 2*2*2*2*2*x -15: -1*5*3
Because there are no similar factors other than 1, it cannot be factored.
